Origins of yogurt in general go back much farther than the Ottomans though by at least 1500-3000 years. Though, you're correct that the word itself is Turkish. Also correct that it's basically called Greek Yogurt because marketers in the West thought it sounded better.
In ancient Indian records, the combination of yogurt and honey is called "the food of the gods".[17] Persian traditions hold that "Abraham owed his fecundity and longevity to the regular ingestion of yogurt".[18]
The oldest writings mentioning yogurt are attributed to Pliny the Elder, who remarked that certain "barbarous nations" knew how "to thicken the milk into a substance with an agreeable acidity".[19] The use of yogurt by medieval Turks is recorded in the books Diwan Lughat al-Turk by Mahmud Kashgari and Kutadgu Bilig by Yusuf Has Hajib written in the 11th century.[20][21] Both texts mention the word "yogurt" in different sections and describe its use by nomadic Turks.[20][21] The earliest yogurts were probably spontaneously fermented by wild bacteria in goat skin bags.[22]
In ancient Indian records, the combination of yogurt and honey is called "the food of the gods".[17] Persian traditions hold that "Abraham owed his fecundity and longevity to the regular ingestion of yogurt".[18]
The oldest writings mentioning yogurt are attributed to Pliny the Elder, who remarked that certain "barbarous nations" knew how "to thicken the milk into a substance with an agreeable acidity".[19] The use of yogurt by medieval Turks is recorded in the books Diwan Lughat al-Turk by Mahmud Kashgari and Kutadgu Bilig by Yusuf Has Hajib written in the 11th century.[20][21] Both texts mention the word "yogurt" in different sections and describe its use by nomadic Turks.[20][21] The earliest yogurts were probably spontaneously fermented by wild bacteria in goat skin bags.[22]
[1] http://en.wikipedia.org/wiki/Yogurt#History